Level 1 Functional Maths Scheme of Work - Skills Workshop

January 2010. To print or download your own copies of this document visit: http://www.skillsworkshop.org/

Scheme of Work Academic Year: Week/ Session

1

2009-10 Content

Induction Initial assessment

2

Initial assessment 1:1 feedback

3

Course Title:

Course Code:

Language of Maths Place value

Curriculum Area:

Functional Skills Maths Level1

Construction

Learning Objectives: students will be able to

1.Expalin the different achievement quals (Key/Basic and Functional Skills) 2. answer questions on the Profiler assessment 1. Complete the Profiler assessment

Assessment of Learning

Q&A Answers on the Profiler assessment

Answers on Profiler assessment

2. Complete autumn term target on progress sheets

Q&A

1. Read, write order and compare numbers

Observation of ordering activity

2. Discuss negative numbers in practical contexts

Q&A

3. Read temperatures on a thermometer

Prepared By:

Observation of reading and recording temperature

Teaching and Learning Activities



4 rules of whole numbers

1. Add and subtract using efficient written and mental methods

Checking/marking of the problem solving worksheet & observing the mental maths game

Resources

Key Skills Basic Skills Every Child Matters

Introduce the Key/Basic/Functional Skills– discuss assessment and portfolio requirements etc.  Paper or computer-based diagnostic assessments

Handouts Whiteboard Assessments Computers



Give 1:1 feedback and complete an ILP with learners

Assessments Computers



Activity - Match figures to words (smartboard) Worksheet – write the value of a digit in a number Cards activity - Order a set of +ve and –ve numbers (smartboard) Paired activity - Describe a set of numbers (more than, less than, equal to) (smartboard) Paired activity – measure and record body temperatures Discussion – different methods for addition and subtraction (smartboard) Worksheets – 4 rules Group activity – follow on game using cards Group activity - dominoes games Inverse checking

Matching cards Thermometers Worksheets Computer Smartboard

N1/L1.1 N1/L1.2 MSS1/L1.4

Activity cards Worksheets Follow on game cards Dominoes Smartboard Computer

N1/L1.3

   

4

Elizabeth Adeyemi

    

Scheme of work for Level 1 Functional Mathematics / Adult Numeracy. Kindly contributed by Elizabeth Adeyemi from South Thames College.

Page 1

January 2010. To print or download your own copies of this document visit: http://www.skillsworkshop.org/

Week/ Session

5

6

Content

4 rules of whole numbers

Rounding and estimating

Learning Objectives: students will be able to

1.Multiply and divide using efficient written and mental methods

1. Round numbers to nearest 10, 100, 1000 to make approximate calculations 2. Estimate to check that answers are reasonable

7

Recap / Mini project – applying 4 rules of numbers (Formative assessment)

1. Complete project. 2. Answer four rules questions using mental maths

Assessment of Learning

Successful completion of problem solving worksheet & mental maths game

Checking/marking of worksheet &

Teaching and Learning Activities

      

Observing the paired activity – Peer assessment

 

Directed questioning Formative assessment of student’s work



Directed questioning



Discussion – different methods for multiplication and division (smartboard) Worksheets – 4 rules Group activity – follow on game using cards Group activity - dominoes games Inverse checking Discussion – examples of rounding in everyday life. Board work – how to round to nearest 10, 100 & 1000 (smartboard) Worksheets - Round values to the nearest £1, £10 & £100 (e.g. budgeting) Paired activity - Estimate then use calculator to find total of items bought Learners to complete mini project and answer verbal questions on the budget for a small business Set homework

Resources

Activity cards Worksheets Follow on game cards Dominoes Smartboard Computer

Key Skills Basic Skills Every Child Matters N1/L1.3

Whiteboard Worksheets Calculators Smartboard Computer

N1/L1.8 N1/L1.9

Mini project Mental maths questions

N1/L1.1-L1.3 N1/L1.8-L1.9 MSS1/L1.4 ECM5

Leaflets Whiteboard Matching cards Worksheets Drag and drop exercise. Whiteboard Smartboard Computer Shopping list

N2/L1.1

HALF TERM 8

Intro Fractions Equivalent fractions

9

Find fraction parts of a whole number

1. Read, write, order and compare common fractions

Checking/marking of worksheet



2. Correctly match equivalent fractions to each other

Observing the activity



Directed questioning



1.Calculate fraction parts of whole number quantities and measurement

Observing the activity Checking/marking of worksheet

   

Discussion – examples of fractions in everyday life (use leaflets). Understand that fractions add up to one whole Activity – matching shaded shapes to fractions (smartboard) Card activity – matching equivalent fractions Starter activity – equivalent fractions Board work – Finding fraction parts Worksheets – Calculating fraction parts Fraction of shopping cost

N2/L1.2

Directed questioning Scheme of work for Level 1 Functional Mathematics / Adult Numeracy. Kindly contributed by Elizabeth Adeyemi from South Thames College.

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January 2010. To print or download your own copies of this document visit: http://www.skillsworkshop.org/

Week/ Session

10

Content

Decimals

Learning Objectives: students will be able to

1. Read, write order and compare decimals up to three decimal places 2. Add and subtract decimals up to two decimal places

11

12

X / ÷ by 10 & 100 Equivalencies between decimals and fractions

Percentages

3. Approx decimals by rounding 1. Multiply and divide whole numbers by 10, 100 2. Match equivalent fractions and decimals

1. Read, write, order and compare simple percentages 2. Calculate simple percentage parts of whole numbers

Assessment of Learning

Observing the activity Checking/marking of worksheet Directed questioning Observing the activity Self assessment Directed questioning

Observing the activity Directed questioning Checking/marking of worksheet

13

Fraction, decimal, percentage equivalencies

1.Match common fractions, decimals and percentages

Observing the activities Peer assessment Directed questioning

14

Recap - mini project involving Fraction, decimal and percentages (Formative assessment)

1. Complete problem solving paper / mini project covering work completed during second half term

Formative assessment of student’s work Directed questioning

Teaching and Learning Activities



Resources

Key Skills Basic Skills Every Child Matters N2/L1.4 N2/L1.5 N2/L1.7

Discussion – introduce decimal place value (smartboard)  Activity – order decimal numbers (skillswise)  Worksheet – add and subtract money, rounding money (smartboard)

Whiteboard Ordering cards Smartboard computers

 

Discussion – how to x/÷ by 10 and 100 Activity – match calculations to answers Smartboard / skillswise)  Activity – match equivalent decimals and fractions (smartboard) – 1/10, 1/5,1/4, ½, ¾

Whiteboard Matching cards Smartboard computers

N1/L1.4 N2.L1.6



Discussion – examples of percentages in everyday life (use leaflets)  Card activity – order percentages  Mental and written strategies for calculating percentages  Worksheet – finding simple percentages

Leaflets Cards Whiteboard Smartboard

N2/L1.8 N2/L1.9 N2/L1.10

 

Board work – calculating equivalencies Small group quiz – calculating fractions, decimals and percentages.  Card activity – match %, decimals & fractions (smartboard)

Whiteboard Quiz questions Worksheets Matching cards Smartboard

N2/L1.3



mini project

N2/L1.1 N2/L1.2 N2/L1.4 - 10

Learners to complete mini project finding the most competitive prices to re-decorate a spare room into an office  Set homework according to test results

ECM 5

ECM5

XMAS BREAK Scheme of work for Level 1 Functional Mathematics / Adult Numeracy. Kindly contributed by Elizabeth Adeyemi from South Thames College.

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January 2010. To print or download your own copies of this document visit: http://www.skillsworkshop.org/

Week/ Session

15

Content

Recap of Fractions, decimals and percentages Feedback of first term’s topics

16

Ratio and direct proportion

Learning Objectives: students will be able to

1. Apply fraction, decimal and percentage in problem solving situations

Assessment of Learning

Checking/marking of worksheet

Directed questioning



N1/L1.7

Checking/marking of worksheet



Observing the activity



Whiteboard Worksheets Recipes Liquids and containers Smartboard

Whiteboard Worksheets Matching cards Measuring instruments Smartboard

MSS1/L1.4 MSS1/L1.7

Whiteboard Worksheets Matching cards Measuring instruments Smartboard

MSS1/L1.4 MSS1/L1.7

  17

Length

1.Write down at least 2 units of measure for length 2. estimate and accurately measure lengths of objects 3. Convert between metric measurements for length

18

Weights and capacities

1. Write down at least 2 units of measure for weights & capacity 2. estimate and accurately measure weight and capacity of objects 3. Convert between metric measurements for weights and capacity

Key Skills Basic Skills Every Child Matters N2/L1.1-11

Worksheets Calculator

2. Review autumn term progress sheet and complete targets for spring term

2. Change quantities in a given recipe 3. Draw an accurate scale plan of a room using a given scale



Resources

Worksheets – Problem solving with fractions, decimals and percentages.  Feedback with tutor – evaluate students progress with regard to their learning and their personal development

Directed questioning

1.Dilute liquids to a given ratio

Teaching and Learning Activities

Observation of activity

 

Q&A. Observation of measuring activity Checking/marking of worksheet

  

Observation of activity



Observation of measuring activity

 

Checking/marking of worksheet Directed questioning

 

Discussion – ratio and proportion in everyday life. Discuss scale plans and how they are used. Board work – How to calculate ratio and proportion (smartboard) Worksheets – calculating ratio and proportion Activity – diluting liquids Activity - Produce simple plans and scale drawings using given scales Discussion – metric / imperial units Activity – estimate, measure and record length of items Board work – How to convert between different units (review x & ÷ by 10, 100 and 1000). Worksheets - Converting between different units Activity – match metric amounts with different units (smartboard) Discussion – recap metric and imperial units Activity – estimate, measure and record weights and capacities of items Board work – How to convert between different units (review x & ÷ by 10, 100 and 1000). Worksheets - Converting between different units Activity –match metric amounts with different units (smartboard)

Scheme of work for Level 1 Functional Mathematics / Adult Numeracy. Kindly contributed by Elizabeth Adeyemi from South Thames College.

ECM3

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January 2010. To print or download your own copies of this document visit: http://www.skillsworkshop.org/

Week/ Session

Content

19

Time management

20

Problem Solving – Measure, shape and space

Learning Objectives: students will be able to

Assessment of Learning

1. Write dates in common formats 2. Write the time in the 12-hour and 24-hour clock

Observation of activity

Complete practical exercise and receive feedback

Measure classroom and calculate the area and perimeter.

Directed questioning

Teaching and Learning Activities

    

Learners plan an building job Access rail timetables online Match dates and times Conversion between metric unit Calculate the number of pipes that is required for the room.

Resources

Matching cards Rail timetable Online game (Skillswise) Whiteboard Mini project Tape rule

Key Skills Basic Skills Every Child Matters MSS1/L1.2

MSS1/L1.8 MSS1/L1.9 ECM1

(Formative assessment)

HALF TERM 21

22

Recap of first half term topics

Area and perimeter

1. Complete problem solving test paper covering work completed during first half term

Observation of activity

1. Accurately calculate perimeter and area of simple shapes

Observe learners calculating area and perimeter of items in the classroom

Directed questioning

Directed questioning Checking/marking of worksheet 23

Volume

1. Accurately calculate the volume of cubes & cuboids.

Observation of activity Successful completion of task. Q&A



Learners to complete problem solving test paper and answer verbal questions  Set homework according to test results

Test paper Mental maths questions

N2/L1.3 N2/L1.7 MSS1/L1.4 MSS1/L1.7



Discussion on area, perimeter & volume in real life  Board work – calculate area, perimeter (smartboard)  Estimate then calculate the area and perimeter of the objects in room (table, computer screen etc.)

Whiteboard Worksheets Squared paper Smartboard

MSS1/L1.8 MSS1/L1.9



Graph/squared paper Whiteboard Internet Smartborad

MSS1/L1.10

Discussion on volume in real life situations  Worksheets - calculate volume  Activity – measure and calculate volume of cuboids

Scheme of work for Level 1 Functional Mathematics / Adult Numeracy. Kindly contributed by Elizabeth Adeyemi from South Thames College.

Page 5

January 2010. To print or download your own copies of this document visit: http://www.skillsworkshop.org/

Week/ Session

24

Content

Graphs, charts, tables and diagrams

Learning Objectives: students will be able to

1.Correctly extract and interpret information from lists, tables, charts and graphs

Assessment of Learning

Checking/marking of worksheet Observation of activity – Peer assessment Directed questioning

25

Graphs, charts, tables and diagrams

1. Collect , organise and represent discrete data

Observation of activity – Peer assessment Directed questioning

26

Mini Project – handling Data

1. Collect and present data in an appropriate graph, chart, table or diagram

(Formative assessment)

Formative assessment of student’s work Directed questioning

Teaching and Learning Activities

Resources

 Discussion – different ways of presenting data  Q&A – extracting information from different sources  Activity – collect discrete data and present it in different ways  Worksheet – extracting and interpreting data  Discussion – different ways of presenting data  Activity – collect discrete data and present it in different ways  Paired quiz – spot the missing information from graph (smartboard)  Activity – collecting and presenting data – e.g. Investigate the costs involved in doing building job. Find an appropriate way to present findings.

Charts, tables and graphs Quiz questions Worksheets Graph Paper Smartboard

Key Skills Basic Skills Every Child Matters HD1/L1.1 HD1/L1.2

Charts, tables and graphs Quiz questions Worksheets Graph Paper Smartboard

HD1/L1.1 HD1/L1.2

Graph sheets Whiteboard

HD1/L1.3 HD1/L1.4 ECM3

EASTER BREAK 27

Recap of data handling

1. Complete the revision questions on last term’s topics

Feedback to students

2. Review spring term progress sheet and complete targets for summer term

Mean (average) and range

1. Calculate mean for the a set of up to 10 numbers

Check for correct answers on group quiz

2. Calculate the range for a set of up to 10 numbers

Observation of activity

Checking/marking of worksheet



Worksheets – Problem solving with data handling

Worksheets Calculator

N2/L1.1-11 ECM3

28



Feedback with tutor – evaluate students progress with regard to their learning and their personal development  Discussion – Averages in everyday life.  Worksheet – calculating averages and range  Activity – investigate averages from different data sources

Scheme of work for Level 1 Functional Mathematics / Adult Numeracy. Kindly contributed by Elizabeth Adeyemi from South Thames College.

Whiteboard Worksheets Quiz questions

HD1/L1.3 HD1/L1.4

Page 6

January 2010. To print or download your own copies of this document visit: http://www.skillsworkshop.org/

Week/ Session

29

Content

Probability

Learning Objectives: students will be able to

1. Express the likelihood of an event occurring 2. Express probability / likelihood as a fraction percentage or decimal

Assessment of Learning

Practice test

Complete practice FS and BS assessments

Summative assessment

Start functional skills assessment

Check answers on practice test.

 Completing the questions and activities on FS assessment and AoN assignment brief

Assignments Calculators Protractors Pen Paper Graph paper

ECM 3

Mark work completed

Completing the questions and activities on FS assessment and AoN assignment brief

Assignments Calculators Protractors Pen Paper Graph paper

ECM 3

Mark work completed

Completing the questions and activities on FS assessment and AoN assignment brief

Assignments Calculators Protractors Pen Paper Graph paper

ECM 3

1. Work as a group to determine the things that should be considered when going on holiday.

 Gather as much information as possible from internet, brochures and flyers

project Calculators Protractors Pen Ruler Graph Paper

ECM 3 & 5

1. Q&A.

 Present their research findings to the whole class  Explain the rationale behind their choice of holiday destination  Discuss issues encountered and receive feedback from peers

Project Feedback sheets Computers

ECM 3 & 5

Observation of activity – Peer assessment

Continue on Application of Number portfolio 32

Summative assessment

Complete functional skills assignment Continue on Application of Number portfolio

33

Introduce Project 1-Planning a Holiday

34

Presentation of Research findings and group feedback

1. Discus the appropriate research method and resources required to complete the task.

1. Present findings of their research using appropriate charts and diagrams

Key Skills Basic Skills Every Child Matters HD2/L1.1

Dice etc. Worksheets Computers

Start on Application of Number portfolio 31

Resources

 Discussion – types of events  Paired activity – investigations using dice etc.  Worksheet – finding probability  Computer – Probability game on BBC Skillswise

Checking/marking of worksheet

Directed questioning 30

Teaching and Learning Activities

Observation of task

Scheme of work for Level 1 Functional Mathematics / Adult Numeracy. Kindly contributed by Elizabeth Adeyemi from South Thames College.

Page 7

January 2010. To print or download your own copies of this document visit: http://www.skillsworkshop.org/

Week/ Session

35

Content

Introduce Project 2-Financial management

Learning Objectives: students will be able to

1. Present personal monthly budget plan to the group

Assessment of Learning

Observation of presentation Q&A

36

Whole Class Evaluation and Review Progress

1. Review individual student’s progress sheets

1. Q&A

Teaching and Learning Activities

 Discuss ways of managing spending  Calculate monthly budget  Present their research findings to the whole class  Explain the rationale behind their spending  Discuss problem encountered and receive feedback from peers  Whole class evaluation of tasks  Discuss progression for 09/10

Resources

Project Feedback sheets Computers

Progress sheets Questionnaire

Key Skills Basic Skills Every Child Matters ECM 3 & 5

ECM 3 & 5

To obtain an editable version of the original Word document please send teaching ideas or any adult basic skills / functional skills resource that you would like to share to [email protected]

THANK YOU

Scheme of work for Level 1 Functional Mathematics / Adult Numeracy. Kindly contributed by Elizabeth Adeyemi from South Thames College.

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